9 citations · 12 across the 5 of their papers we have counts for
6 papers
On the space of cone geodesics and positive paths of contactomorphisms
Jakob Hedicke
Often it is possible to equip the space of all cone geodesics of a strongly convex cone structure with the structure of a smooth contact manifold. This generalizes the analogous no…
Bott-integrability of overtwisted contact structures
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual…
Bott-integrable Reeb flows on 3-manifolds
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
This paper is devoted to studying a notion of Bott integrability for Reeb flows on contact 3-manifolds. We show, in analogy with work of Fomenko-Zieschang on Hamiltonian flows in d…
Lorentzian distance functions in contact geometry
Jakob Hedicke
We define a Lorentzian distance function on the group of contactomorphisms of a closed contact manifold. This distance function is continuous with respect to the Hofer norm on the…
The contact structure on the space of null geodesics of causally simple spacetimes
Jakob Hedicke
It is shown that the space of null geodesics of a star-shaped causally simple subset of Minkowski space is contactomorphic to the canonical contact structure in the spherical cotan…
Conformally embedded spacetimes and the space of null geodesics
Jakob Hedicke, Stefan Suhr
It is shown that the space of null geodesics of a causally simple Lorentzian manifold is Hausdorff if it admits an open conformal embedding into a globally hyperbolic spacetime. Th…